We present an analytical model for describing optical third-harmonic generation from a sphere that is small compared with the wavelength of light. Analysis of the problem shows that the power of the third harmonic from a sphere that is small compared with the waist size and the confocal parameter of the beam is proportional to the fourth power of a sphere’s size. Experiments with different spheres both in index-matching and non-index-matching liquids are performed and confirm theoretical predictions.
© 2005 Optical Society of America
(140.7090) Lasers and laser optics : Ultrafast lasers
(190.3970) Nonlinear optics : Microparticle nonlinear optics
(190.4160) Nonlinear optics : Multiharmonic generation
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(290.5850) Scattering : Scattering, particles
Vladislav I. Shcheslavskiy, Solomon M. Saltiel, Alexey Faustov, Georgi I. Petrov, and Vladislav V. Yakovlev, "Third-harmonic Rayleigh scattering: theory and experiment," J. Opt. Soc. Am. B 22, 2402-2408 (2005)